45406121628 has 96 divisors (see below), whose sum is σ = 127621992960. Its totient is φ = 12289455360.

The previous prime is 45406121617. The next prime is 45406121641. The reversal of 45406121628 is 82612160454.

It is a happy number.

45406121628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46738 + ... + 304953.

It is an arithmetic number, because the mean of its divisors is an integer number (1329395760).

Almost surely, 2^45406121628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45406121628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63810996480).

45406121628 is an abundant number, since it is smaller than the sum of its proper divisors (82215871332).

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

45406121628 is a wasteful number, since it uses less digits than its factorization.

45406121628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351787 (or 351785 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 45406121628 in words is "forty-five billion, four hundred six million, one hundred twenty-one thousand, six hundred twenty-eight".