1618907472000 has 3840 divisors, whose sum is σ = 7881890496480. Its totient is φ = 326069452800.

The previous prime is 1618907471989. The next prime is 1618907472001. The reversal of 1618907472000 is 2747098161.

It is a happy number.

1618907472000 is a `hidden beast` number, since 1 + 618 + 9 + 0 + 7 + 4 + 7 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7084252224 + 1611823219776 = 84168^2 + 1269576^2 .

It is a super-2 number, since 2×1618907472000² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1618907472001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 30545423974 + ... + 30545424026.

Almost surely, 2^{1618907472000} is an apocalyptic number.

1618907472000 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 1618907472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940945248240).

1618907472000 is an abundant number, since it is smaller than the sum of its proper divisors (6262983024480).

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

1618907472000 is a wasteful number, since it uses less digits than its factorization.

1618907472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1618907472000 in words is "one trillion, six hundred eighteen billion, nine hundred seven million, four hundred seventy-two thousand".