45963500880 has 160 divisors (see below), whose sum is σ = 155537366400. Its totient is φ = 11135703040.

The previous prime is 45963500879. The next prime is 45963500911. The reversal of 45963500880 is 8800536954.

It is a happy number.

45963500880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 214391²-1.

It is a super-2 number, since 2×45963500880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5140894 + ... + 5149826.

It is an arithmetic number, because the mean of its divisors is an integer number (972108540).

Almost surely, 2^45963500880 is an apocalyptic number.

45963500880 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 45963500880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77768683200).

45963500880 is an abundant number, since it is smaller than the sum of its proper divisors (109573865520).

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

45963500880 is a wasteful number, since it uses less digits than its factorization.

45963500880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10909 (or 10903 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 45963500880 in words is "forty-five billion, nine hundred sixty-three million, five hundred thousand, eight hundred eighty".