1551904468992 has 624 divisors, whose sum is σ = 5044523938272. Its totient is φ = 474784727040.

The previous prime is 1551904468991. The next prime is 1551904468997. The reversal of 1551904468992 is 2998644091551.

1551904468992 is a `hidden beast` number, since 15 + 5 + 1 + 90 + 446 + 8 + 9 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1551904468991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693742498 + ... + 693744734.

It is an arithmetic number, because the mean of its divisors is an integer number (8084172978).

Almost surely, 2^{1551904468992} is an apocalyptic number.

1551904468992 is a gapful number since it is divisible by the number (12) 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 1551904468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522261969136).

1551904468992 is an abundant number, since it is smaller than the sum of its proper divisors (3492619469280).

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

1551904468992 is an equidigital number, since it uses as much as digits as its factorization.

1551904468992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 1551904468992 in words is "one trillion, five hundred fifty-one billion, nine hundred four million, four hundred sixty-eight thousand, nine hundred ninety-two".