901971877284 has 81 divisors (see below), whose sum is σ = 2422250569921. Its totient is φ = 282941178240.

The previous prime is 901971877253. The next prime is 901971877309. The reversal of 901971877284 is 482778179109.

The square root of 901971877284 is 949722.

It is a perfect power (a square), and thus also a powerful number.

901971877284 is a `hidden beast` number, since 90 + 1 + 97 + 187 + 7 + 284 = 666.

It can be written as a sum of positive squares in only one way, i.e., 702227240100 + 199744637184 = 837990^2 + 446928^2 .

It is a super-2 number, since 2×901971877284² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96866989 + ... + 96876299.

Almost surely, 2^901971877284 is an apocalyptic number.

901971877284 is the 949722-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901971877284

901971877284 is an abundant number, since it is smaller than the sum of its proper divisors (1520278692637).

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

901971877284 is an equidigital number, since it uses as much as digits as its factorization.

901971877284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18666 (or 9333 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 901971877284 in words is "nine hundred one billion, nine hundred seventy-one million, eight hundred seventy-seven thousand, two hundred eighty-four".