45950976000000 has 1260 divisors, whose sum is σ = 172223698516254. Its totient is φ = 12209356800000.

The previous prime is 45950975999941. The next prime is 45950976000001. The reversal of 45950976000000 is 67905954.

It is a happy number.

45950976000000 is a `hidden beast` number, since 459 + 50 + 97 + 60 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 32412344057856 + 13538631942144 = 5693184^2 + 3679488^2 .

It is a super-2 number, since 2×45950976000000² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45950976000000.

It is not an unprimeable number, because it can be changed into a prime (45950976000001) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 165887999862 + ... + 165888000138.

Almost surely, 2^{45950976000000} is an apocalyptic number.

45950976000000 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 45950976000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86111849258127).

45950976000000 is an abundant number, since it is smaller than the sum of its proper divisors (126272722516254).

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

45950976000000 is an frugal number, since it uses more digits than its factorization.

45950976000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 45950976000000 in words is "forty-five trillion, nine hundred fifty billion, nine hundred seventy-six million", and thus it is an aban number.