901736973729792 has 342 divisors, whose sum is σ = 2705073482226063. Its totient is φ = 300578991243264.

The previous prime is 901736973729749. The next prime is 901736973729817. The reversal of 901736973729792 is 297927379637109.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁸ ⋅ (2!)¹³.

901736973729792 is a `hidden beast` number, since 9 + 0 + 1 + 73 + 6 + 9 + 7 + 372 + 97 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 450868486864896 + 450868486864896 = 21233664^2 + 21233664^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=21233664.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 300578991243263 + 300578991243264 + 300578991243265.

Almost surely, 2^{901736973729792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901736973729792

901736973729792 is an abundant number, since it is smaller than the sum of its proper divisors (1803336508496271).

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

901736973729792 is an frugal number, since it uses more digits than its factorization.

901736973729792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 3402639576, while the sum is 81.

The spelling of 901736973729792 in words is "nine hundred one trillion, seven hundred thirty-six billion, nine hundred seventy-three million, seven hundred twenty-nine thousand, seven hundred ninety-two".