892252041345 has 384 divisors, whose sum is σ = 2007814348800. Its totient is φ = 357198336000.

The previous prime is 892252041337. The next prime is 892252041367. The reversal of 892252041345 is 543140252298.

892252041345 is a `hidden beast` number, since 8 + 9 + 225 + 2 + 0 + 413 + 4 + 5 = 666.

It is not a de Polignac number, because 892252041345 - 2³ = 892252041337 is a prime.

It is a super-2 number, since 2×892252041345² (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 a self number, because there is not a number n which added to its sum of digits gives 892252041345.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 495419445 + ... + 495421245.

It is an arithmetic number, because the mean of its divisors is an integer number (5228683200).

Almost surely, 2^892252041345 is an apocalyptic number.

It is an amenable number.

892252041345 is an abundant number, since it is smaller than the sum of its proper divisors (1115562307455).

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

892252041345 is a wasteful number, since it uses less digits than its factorization.

892252041345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 892252041345 in words is "eight hundred ninety-two billion, two hundred fifty-two million, forty-one thousand, three hundred forty-five".