45952639200 has 576 divisors, whose sum is σ = 184788172800. Its totient is φ = 10944460800.

The previous prime is 45952639171. The next prime is 45952639207. The reversal of 45952639200 is 293625954.

45952639200 is a `hidden beast` number, since 4 + 5 + 9 + 5 + 2 + 639 + 2 + 0 + 0 = 666.

45952639200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45952639200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45952639207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8702161 + ... + 8707439.

It is an arithmetic number, because the mean of its divisors is an integer number (320812800).

Almost surely, 2^45952639200 is an apocalyptic number.

45952639200 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 45952639200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92394086400).

45952639200 is an abundant number, since it is smaller than the sum of its proper divisors (138835533600).

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

45952639200 is a wasteful number, since it uses less digits than its factorization.

45952639200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 45952639200 in words is "forty-five billion, nine hundred fifty-two million, six hundred thirty-nine thousand, two hundred".