201304737376512 has 1152 divisors, whose sum is σ = 698400209633280. Its totient is φ = 49968889528320.

The previous prime is 201304737376381. The next prime is 201304737376529. The reversal of 201304737376512 is 215673737403102.

It is a super-2 number, since 2×201304737376512² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23574739539 + ... + 23574748077.

Almost surely, 2^{201304737376512} is an apocalyptic number.

201304737376512 is a gapful number since it is divisible by the number (22) 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 201304737376512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349200104816640).

201304737376512 is an abundant number, since it is smaller than the sum of its proper divisors (497095472256768).

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

201304737376512 is a wasteful number, since it uses less digits than its factorization.

201304737376512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8819 (or 8805 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 51.

The spelling of 201304737376512 in words is "two hundred one trillion, three hundred four billion, seven hundred thirty-seven million, three hundred seventy-six thousand, five hundred twelve".