1488811484160 has 4224 divisors, whose sum is σ = 7621285593600. Its totient is φ = 270516879360.

The previous prime is 1488811484119. The next prime is 1488811484201. The reversal of 1488811484160 is 614841188841.

1488811484160 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 81 + 148 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1488811484119) and next prime (1488811484201).

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-4 number, since 4×1488811484160⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1488811484097 and 1488811484106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28090782694 + ... + 28090782746.

Almost surely, 2^{1488811484160} is an apocalyptic number.

1488811484160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1488811484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810642796800).

1488811484160 is an abundant number, since it is smaller than the sum of its proper divisors (6132474109440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1488811484160 is a wasteful number, since it uses less digits than its factorization.

1488811484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 1488811484160 in words is "one trillion, four hundred eighty-eight billion, eight hundred eleven million, four hundred eighty-four thousand, one hundred sixty".