249557151264 has 48 divisors (see below), whose sum is σ = 672792599808. Its totient is φ = 80937453312.

The previous prime is 249557151257. The next prime is 249557151269. The reversal of 249557151264 is 462151755942.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (249557151269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35125552 + ... + 35132655.

It is an arithmetic number, because the mean of its divisors is an integer number (14016512496).

Almost surely, 2^249557151264 is an apocalyptic number.

249557151264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249557151264 is an abundant number, since it is smaller than the sum of its proper divisors (423235448544).

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

249557151264 is a wasteful number, since it uses less digits than its factorization.

249557151264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70258257 (or 70258249 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 51.

The spelling of 249557151264 in words is "two hundred forty-nine billion, five hundred fifty-seven million, one hundred fifty-one thousand, two hundred sixty-four".