45941052000 has 192 divisors, whose sum is σ = 152972584128. Its totient is φ = 12049920000.

The previous prime is 45941051971. The next prime is 45941052007. The reversal of 45941052000 is 25014954.

It is a super-2 number, since 2×45941052000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45941052007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700620 + ... + 763380.

It is an arithmetic number, because the mean of its divisors is an integer number (796732209).

Almost surely, 2^45941052000 is an apocalyptic number.

45941052000 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 45941052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76486292064).

45941052000 is an abundant number, since it is smaller than the sum of its proper divisors (107031532128).

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

45941052000 is a wasteful number, since it uses less digits than its factorization.

45941052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62850 (or 62832 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 45941052000 its reverse (25014954), we get a palindrome (45966066954).

The spelling of 45941052000 in words is "forty-five billion, nine hundred forty-one million, fifty-two thousand".