45434648682400 has 72 divisors (see below), whose sum is σ = 113496809114304. Its totient is φ = 17751211564800.

The previous prime is 45434648682389. The next prime is 45434648682403. The reversal of 45434648682400 is 428684643454.

It is a super-2 number, since 2×45434648682400² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45434648682403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 660352936 + ... + 660421735.

It is an arithmetic number, because the mean of its divisors is an integer number (1576344571032).

Almost surely, 2^{45434648682400} is an apocalyptic number.

45434648682400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45434648682400 is an abundant number, since it is smaller than the sum of its proper divisors (68062160431904).

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

45434648682400 is a wasteful number, since it uses less digits than its factorization.

45434648682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320774734 (or 1320774721 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 58.

The spelling of 45434648682400 in words is "forty-five trillion, four hundred thirty-four billion, six hundred forty-eight million, six hundred eighty-two thousand, four hundred".