201047907003264 has 768 divisors, whose sum is σ = 631077435555840. Its totient is φ = 61250892595200.

The previous prime is 201047907003227. The next prime is 201047907003271. The reversal of 201047907003264 is 462300709740102.

201047907003264 is a `hidden beast` number, since 20 + 1 + 0 + 479 + 0 + 70 + 0 + 32 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25152993252 + ... + 25153001244.

It is an arithmetic number, because the mean of its divisors is an integer number (821715410880).

Almost surely, 2^{201047907003264} is an apocalyptic number.

201047907003264 is a gapful number since it is divisible by the number (24) 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 201047907003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315538717777920).

201047907003264 is an abundant number, since it is smaller than the sum of its proper divisors (430029528552576).

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

201047907003264 is a wasteful number, since it uses less digits than its factorization.

201047907003264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8451 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 201047907003264 in words is "two hundred one trillion, forty-seven billion, nine hundred seven million, three thousand, two hundred sixty-four".