45913467600 has 1920 divisors, whose sum is σ = 228145397760. Its totient is φ = 8460288000.

The previous prime is 45913467581. The next prime is 45913467619. The reversal of 45913467600 is 676431954.

45913467600 is a `hidden beast` number, since 4 + 5 + 9 + 1 + 34 + 6 + 7 + 600 = 666.

45913467600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45913467581) and next prime (45913467619).

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 383 ways as a sum of consecutive naturals, for example, 335134732 + ... + 335134868.

It is an arithmetic number, because the mean of its divisors is an integer number (118825728).

Almost surely, 2^45913467600 is an apocalyptic number.

45913467600 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 45913467600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114072698880).

45913467600 is an abundant number, since it is smaller than the sum of its proper divisors (182231930160).

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

45913467600 is a wasteful number, since it uses less digits than its factorization.

45913467600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 45913467600 in words is "forty-five billion, nine hundred thirteen million, four hundred sixty-seven thousand, six hundred".