49581677292345 has 160 divisors (see below), whose sum is σ = 102075592798080. Its totient is φ = 22771519580160.

The previous prime is 49581677292239. The next prime is 49581677292391. The reversal of 49581677292345 is 54329277618594.

49581677292345 is a `hidden beast` number, since 4 + 9 + 58 + 167 + 72 + 9 + 2 + 345 = 666.

It is not a de Polignac number, because 49581677292345 - 2¹¹ = 49581677290297 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 776416657 + ... + 776480513.

It is an arithmetic number, because the mean of its divisors is an integer number (637972454988).

Almost surely, 2^{49581677292345} is an apocalyptic number.

49581677292345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49581677292345 is an abundant number, since it is smaller than the sum of its proper divisors (52493915505735).

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

49581677292345 is a wasteful number, since it uses less digits than its factorization.

49581677292345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73077 (or 73068 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 49581677292345 in words is "forty-nine trillion, five hundred eighty-one billion, six hundred seventy-seven million, two hundred ninety-two thousand, three hundred forty-five".