253748147397264 has 480 divisors, whose sum is σ = 808312321200384. Its totient is φ = 76579060746240.

The previous prime is 253748147397229. The next prime is 253748147397271. The reversal of 253748147397264 is 462793741847352.

253748147397264 is a `hidden beast` number, since 2 + 5 + 3 + 7 + 4 + 8 + 1 + 473 + 97 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 253748147397192 and 253748147397201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9662533894 + ... + 9662560154.

Almost surely, 2^{253748147397264} is an apocalyptic number.

253748147397264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253748147397264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404156160600192).

253748147397264 is an abundant number, since it is smaller than the sum of its proper divisors (554564173803120).

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

253748147397264 is a wasteful number, since it uses less digits than its factorization.

253748147397264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29957 (or 29939 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 72.

The spelling of 253748147397264 in words is "two hundred fifty-three trillion, seven hundred forty-eight billion, one hundred forty-seven million, three hundred ninety-seven thousand, two hundred sixty-four".