900102675456 has 528 divisors, whose sum is σ = 2901028051200. Its totient is φ = 274919546880.

The previous prime is 900102675421. The next prime is 900102675463. The reversal of 900102675456 is 654576201009.

900102675456 is a `hidden beast` number, since 90 + 0 + 10 + 2 + 6 + 7 + 545 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504823941 + ... + 504825723.

Almost surely, 2^900102675456 is an apocalyptic number.

900102675456 is a gapful number since it is divisible by the number (96) 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 900102675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450514025600).

900102675456 is an abundant number, since it is smaller than the sum of its proper divisors (2000925375744).

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

900102675456 is a wasteful number, since it uses less digits than its factorization.

900102675456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 900102675456 in words is "nine hundred billion, one hundred two million, six hundred seventy-five thousand, four hundred fifty-six".