45329065992000 has 896 divisors, whose sum is σ = 190144481280000. Its totient is φ = 10356624230400.

The previous prime is 45329065991977. The next prime is 45329065992029. The reversal of 45329065992000 is 29956092354.

It is a happy number.

45329065992000 is a `hidden beast` number, since 4 + 5 + 3 + 29 + 0 + 6 + 599 + 20 + 0 + 0 = 666.

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

It is a congruent number.

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, 4927603401 + ... + 4927612599.

Almost surely, 2^{45329065992000} is an apocalyptic number.

45329065992000 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 45329065992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95072240640000).

45329065992000 is an abundant number, since it is smaller than the sum of its proper divisors (144815415288000).

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

45329065992000 is a wasteful number, since it uses less digits than its factorization.

45329065992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12501 (or 12475 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 45329065992000 in words is "forty-five trillion, three hundred twenty-nine billion, sixty-five million, nine hundred ninety-two thousand".