45690365952000 has 4800 divisors, whose sum is σ = 219694713638400. Its totient is φ = 9364045824000.

The previous prime is 45690365951981. The next prime is 45690365952019. The reversal of 45690365952000 is 25956309654.

It is a happy number.

45690365952000 is a `hidden beast` number, since 4 + 5 + 69 + 0 + 3 + 6 + 59 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45690365951981) and next prime (45690365952019).

It is a tau number, because it is divible by the number of its divisors (4800).

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

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 319 ways as a sum of consecutive naturals, for example, 625895423964 + ... + 625895424036.

It is an arithmetic number, because the mean of its divisors is an integer number (45769732008).

Almost surely, 2^{45690365952000} is an apocalyptic number.

45690365952000 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 45690365952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109847356819200).

45690365952000 is an abundant number, since it is smaller than the sum of its proper divisors (174004347686400).

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

45690365952000 is an frugal number, since it uses more digits than its factorization.

45690365952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 45690365952000 in words is "forty-five trillion, six hundred ninety billion, three hundred sixty-five million, nine hundred fifty-two thousand".