45625194000 has 800 divisors, whose sum is σ = 177044799360. Its totient is φ = 11337408000.

The previous prime is 45625193983. The next prime is 45625194011. The reversal of 45625194000 is 49152654.

45625194000 is a `hidden beast` number, since 4 + 562 + 5 + 1 + 94 + 0 + 0 + 0 = 666.

45625194000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 747953970 + ... + 747954030.

Almost surely, 2^45625194000 is an apocalyptic number.

45625194000 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 45625194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88522399680).

45625194000 is an abundant number, since it is smaller than the sum of its proper divisors (131419605360).

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

45625194000 is an frugal number, since it uses more digits than its factorization.

45625194000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 45625194000 in words is "forty-five billion, six hundred twenty-five million, one hundred ninety-four thousand".