472296900156000 has 1152 divisors, whose sum is σ = 1619183107301760. Its totient is φ = 120335155200000.

The previous prime is 472296900155959. The next prime is 472296900156001. The reversal of 472296900156000 is 651009692274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472296900156001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 504052187532 + ... + 504052188468.

It is an arithmetic number, because the mean of its divisors is an integer number (1405540891755).

Almost surely, 2^{472296900156000} is an apocalyptic number.

472296900156000 is a gapful number since it is divisible by the number (40) 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 472296900156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809591553650880).

472296900156000 is an abundant number, since it is smaller than the sum of its proper divisors (1146886207145760).

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

472296900156000 is a wasteful number, since it uses less digits than its factorization.

472296900156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 472296900156000 in words is "four hundred seventy-two trillion, two hundred ninety-six billion, nine hundred million, one hundred fifty-six thousand".