45400275648 has 336 divisors, whose sum is σ = 168595365120. Its totient is φ = 11343255552.

The previous prime is 45400275643. The next prime is 45400275689. The reversal of 45400275648 is 84657200454.

45400275648 is a `hidden beast` number, since 45 + 40 + 0 + 2 + 7 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×45400275648² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45400275643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973111 + ... + 1018697.

It is an arithmetic number, because the mean of its divisors is an integer number (501771920).

Almost surely, 2^45400275648 is an apocalyptic number.

45400275648 is a gapful number since it is divisible by the number (48) 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 45400275648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84297682560).

45400275648 is an abundant number, since it is smaller than the sum of its proper divisors (123195089472).

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

45400275648 is a wasteful number, since it uses less digits than its factorization.

45400275648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45644 (or 45631 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 45400275648 in words is "forty-five billion, four hundred million, two hundred seventy-five thousand, six hundred forty-eight".