892812240090 has 48 divisors (see below), whose sum is σ = 2329941299400. Its totient is φ = 237198189696.

The previous prime is 892812240079. The next prime is 892812240137. The reversal of 892812240090 is 90042218298.

It is a happy number.

892812240090 is a `hidden beast` number, since 89 + 2 + 81 + 2 + 2 + 400 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 295086881961 + 597725358129 = 543219^2 + 773127^2 .

It is a super-2 number, since 2×892812240090² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18414705 + ... + 18463124.

Almost surely, 2^892812240090 is an apocalyptic number.

892812240090 is an abundant number, since it is smaller than the sum of its proper divisors (1437129059310).

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

892812240090 is a wasteful number, since it uses less digits than its factorization.

892812240090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36878111 (or 36878108 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 892812240090 in words is "eight hundred ninety-two billion, eight hundred twelve million, two hundred forty thousand, ninety".