45952721280 has 512 divisors, whose sum is σ = 171322300800. Its totient is φ = 11625431040.

The previous prime is 45952721261. The next prime is 45952721303. The reversal of 45952721280 is 8212725954.

45952721280 is a `hidden beast` number, since 45 + 9 + 527 + 2 + 1 + 2 + 80 = 666.

45952721280 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 2×45952721280² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26212884 + ... + 26214636.

Almost surely, 2^45952721280 is an apocalyptic number.

45952721280 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 45952721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85661150400).

45952721280 is an abundant number, since it is smaller than the sum of its proper divisors (125369579520).

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

45952721280 is a wasteful number, since it uses less digits than its factorization.

45952721280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 45952721280 in words is "forty-five billion, nine hundred fifty-two million, seven hundred twenty-one thousand, two hundred eighty".