45213552000 has 768 divisors, whose sum is σ = 174627835200. Its totient is φ = 11612160000.

The previous prime is 45213551969. The next prime is 45213552061. The reversal of 45213552000 is 25531254.

It is a happy number.

45213552000 is a `hidden beast` number, since 4 + 5 + 2 + 135 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112751800 + ... + 112752200.

Almost surely, 2^45213552000 is an apocalyptic number.

45213552000 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 45213552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87313917600).

45213552000 is an abundant number, since it is smaller than the sum of its proper divisors (129414283200).

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

45213552000 is an equidigital number, since it uses as much as digits as its factorization.

45213552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 45213552000 in words is "forty-five billion, two hundred thirteen million, five hundred fifty-two thousand".