1148106516480 has 2304 divisors, whose sum is σ = 5439925370880. Its totient is φ = 216583372800.

The previous prime is 1148106516461. The next prime is 1148106516493. The reversal of 1148106516480 is 846156018411.

1148106516480 is a `hidden beast` number, since 1 + 1 + 48 + 10 + 6 + 516 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3739760487 + ... + 3739760793.

It is an arithmetic number, because the mean of its divisors is an integer number (2361078720).

Almost surely, 2^{1148106516480} is an apocalyptic number.

1148106516480 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 1148106516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719962685440).

1148106516480 is an abundant number, since it is smaller than the sum of its proper divisors (4291818854400).

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

1148106516480 is a wasteful number, since it uses less digits than its factorization.

1148106516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1148106516480 in words is "one trillion, one hundred forty-eight billion, one hundred six million, five hundred sixteen thousand, four hundred eighty".