45428435103744 has 1664 divisors, whose sum is σ = 172578231336960. Its totient is φ = 11611655700480.

The previous prime is 45428435103739. The next prime is 45428435103763. The reversal of 45428435103744 is 44730153482454.

45428435103744 is a `hidden beast` number, since 4 + 5 + 4 + 2 + 84 + 3 + 510 + 3 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46214073877 + ... + 46214074859.

Almost surely, 2^{45428435103744} is an apocalyptic number.

45428435103744 is a gapful number since it is divisible by the number (44) 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 45428435103744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86289115668480).

45428435103744 is an abundant number, since it is smaller than the sum of its proper divisors (127149796233216).

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

45428435103744 is an frugal number, since it uses more digits than its factorization.

45428435103744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 45428435103744 in words is "forty-five trillion, four hundred twenty-eight billion, four hundred thirty-five million, one hundred three thousand, seven hundred forty-four".