45990741600000 has 864 divisors, whose sum is σ = 170815089634560. Its totient is φ = 12204864000000.

The previous prime is 45990741599983. The next prime is 45990741600017. The reversal of 45990741600000 is 614709954.

It is an interprime number because it is at equal distance from previous prime (45990741599983) and next prime (45990741600017).

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4557594955 + ... + 4557605045.

It is an arithmetic number, because the mean of its divisors is an integer number (197702650040).

Almost surely, 2^{45990741600000} is an apocalyptic number.

45990741600000 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 45990741600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85407544817280).

45990741600000 is an abundant number, since it is smaller than the sum of its proper divisors (124824348034560).

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

45990741600000 is an equidigital number, since it uses as much as digits as its factorization.

45990741600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10352 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 45990741600000 in words is "forty-five trillion, nine hundred ninety billion, seven hundred forty-one million, six hundred thousand".