45497913840 has 800 divisors, whose sum is σ = 171463311360. Its totient is φ = 11160115200.

The previous prime is 45497913829. The next prime is 45497913863. The reversal of 45497913840 is 4831979454.

45497913840 is a `hidden beast` number, since 4 + 549 + 7 + 9 + 13 + 84 + 0 = 666.

45497913840 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-3 number, since 3×45497913840³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 575922921 + ... + 575922999.

Almost surely, 2^45497913840 is an apocalyptic number.

45497913840 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 45497913840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85731655680).

45497913840 is an abundant number, since it is smaller than the sum of its proper divisors (125965397520).

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

45497913840 is a wasteful number, since it uses less digits than its factorization.

45497913840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 45497913840 in words is "forty-five billion, four hundred ninety-seven million, nine hundred thirteen thousand, eight hundred forty".