814932783090 has 64 divisors (see below), whose sum is σ = 2287530633600. Its totient is φ = 205877754432.

The previous prime is 814932783037. The next prime is 814932783131. The reversal of 814932783090 is 90387239418.

814932783090 is a `hidden beast` number, since 8 + 1 + 4 + 9 + 327 + 8 + 309 + 0 = 666.

It is a super-3 number, since 3×814932783090³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79423017 + ... + 79433276.

It is an arithmetic number, because the mean of its divisors is an integer number (35742666150).

Almost surely, 2^814932783090 is an apocalyptic number.

814932783090 is an abundant number, since it is smaller than the sum of its proper divisors (1472597850510).

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

814932783090 is a wasteful number, since it uses less digits than its factorization.

814932783090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158856328 (or 158856322 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 814932783090 in words is "eight hundred fourteen billion, nine hundred thirty-two million, seven hundred eighty-three thousand, ninety".