45938842092 has 576 divisors, whose sum is σ = 148830474240. Its totient is φ = 12231648000.

The previous prime is 45938842073. The next prime is 45938842097. The reversal of 45938842092 is 29024883954.

45938842092 is a `hidden beast` number, since 4 + 59 + 3 + 88 + 420 + 92 = 666.

45938842092 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 2×45938842092² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45938842097) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 753095742 + ... + 753095802.

It is an arithmetic number, because the mean of its divisors is an integer number (258386240).

Almost surely, 2^45938842092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45938842092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74415237120).

45938842092 is an abundant number, since it is smaller than the sum of its proper divisors (102891632148).

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

45938842092 is a wasteful number, since it uses less digits than its factorization.

45938842092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 45938842092 in words is "forty-five billion, nine hundred thirty-eight million, eight hundred forty-two thousand, ninety-two".