45985363200 has 648 divisors, whose sum is σ = 196190151360. Its totient is φ = 10509004800.

The previous prime is 45985363183. The next prime is 45985363219. The reversal of 45985363200 is 236358954.

45985363200 is a `hidden beast` number, since 4 + 5 + 9 + 8 + 5 + 3 + 632 + 0 + 0 = 666.

It is a super-2 number, since 2×45985363200² (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 8464485 + ... + 8469915.

Almost surely, 2^45985363200 is an apocalyptic number.

45985363200 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 45985363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98095075680).

45985363200 is an abundant number, since it is smaller than the sum of its proper divisors (150204788160).

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

45985363200 is a wasteful number, since it uses less digits than its factorization.

45985363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 45985363200 in words is "forty-five billion, nine hundred eighty-five million, three hundred sixty-three thousand, two hundred".