64903348224 has 896 divisors, whose sum is σ = 240675976800. Its totient is φ = 17199267840.

The previous prime is 64903348217. The next prime is 64903348231. The reversal of 64903348224 is 42284330946.

64903348224 is a `hidden beast` number, since 6 + 4 + 90 + 334 + 8 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (64903348217) and next prime (64903348231).

It is a super-2 number, since 2×64903348224² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64903348224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3415965687 + ... + 3415965705.

Almost surely, 2^64903348224 is an apocalyptic number.

64903348224 is a gapful number since it is divisible by the number (64) 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 64903348224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120337988400).

64903348224 is an abundant number, since it is smaller than the sum of its proper divisors (175772628576).

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

64903348224 is an equidigital number, since it uses as much as digits as its factorization.

64903348224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 64903348224 in words is "sixty-four billion, nine hundred three million, three hundred forty-eight thousand, two hundred twenty-four".