45128429095680 has 3456 divisors, whose sum is σ = 202872383078400. Its totient is φ = 9292979404800.

The previous prime is 45128429095679. The next prime is 45128429095691. The reversal of 45128429095680 is 8659092482154.

45128429095680 is a `hidden beast` number, since 4 + 5 + 1 + 28 + 42 + 9 + 0 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×45128429095680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 213878810775 + ... + 213878810985.

Almost surely, 2^{45128429095680} is an apocalyptic number.

45128429095680 is a gapful number since it is divisible by the number (40) 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 45128429095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101436191539200).

45128429095680 is an abundant number, since it is smaller than the sum of its proper divisors (157743953982720).

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

45128429095680 is a wasteful number, since it uses less digits than its factorization.

45128429095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 45128429095680 in words is "forty-five trillion, one hundred twenty-eight billion, four hundred twenty-nine million, ninety-five thousand, six hundred eighty".