45938954880 has 384 divisors, whose sum is σ = 195242785920. Its totient is φ = 9692504064.

The previous prime is 45938954857. The next prime is 45938954903. The reversal of 45938954880 is 8845983954.

45938954880 is a `hidden beast` number, since 4 + 5 + 9 + 3 + 8 + 9 + 548 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (45938954857) and next prime (45938954903).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×45938954880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480339 + ... + 567981.

It is an arithmetic number, because the mean of its divisors is an integer number (508444755).

Almost surely, 2^45938954880 is an apocalyptic number.

45938954880 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 45938954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97621392960).

45938954880 is an abundant number, since it is smaller than the sum of its proper divisors (149303831040).

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

45938954880 is a wasteful number, since it uses less digits than its factorization.

45938954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87688 (or 87673 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 45938954880 in words is "forty-five billion, nine hundred thirty-eight million, nine hundred fifty-four thousand, eight hundred eighty".