45486662400 has 648 divisors, whose sum is σ = 173296738160. Its totient is φ = 11674091520.

The previous prime is 45486662393. The next prime is 45486662413. The reversal of 45486662400 is 426668454.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145324644 + ... + 145324956.

Almost surely, 2^45486662400 is an apocalyptic number.

45486662400 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 45486662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86648369080).

45486662400 is an abundant number, since it is smaller than the sum of its proper divisors (127810075760).

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

45486662400 is a wasteful number, since it uses less digits than its factorization.

45486662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 45486662400 in words is "forty-five billion, four hundred eighty-six million, six hundred sixty-two thousand, four hundred".