45429576192 has 1280 divisors, whose sum is σ = 186988032000. Its totient is φ = 10729635840.

The previous prime is 45429576173. The next prime is 45429576197. The reversal of 45429576192 is 29167592454.

It is a happy number.

45429576192 is a `hidden beast` number, since 4 + 54 + 2 + 9 + 576 + 19 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45429576197) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 678053343 + ... + 678053409.

It is an arithmetic number, because the mean of its divisors is an integer number (146084400).

Almost surely, 2^45429576192 is an apocalyptic number.

45429576192 is a gapful number since it is divisible by the number (42) 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 45429576192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93494016000).

45429576192 is an abundant number, since it is smaller than the sum of its proper divisors (141558455808).

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

45429576192 is a wasteful number, since it uses less digits than its factorization.

45429576192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 103 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 45429576192 in words is "forty-five billion, four hundred twenty-nine million, five hundred seventy-six thousand, one hundred ninety-two".