45466993615680 has 1344 divisors, whose sum is σ = 194497613227008. Its totient is φ = 9492615659520.

The previous prime is 45466993615669. The next prime is 45466993615727. The reversal of 45466993615680 is 8651639966454.

45466993615680 is a `hidden beast` number, since 4 + 5 + 466 + 9 + 9 + 3 + 6 + 156 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 45466993615599 and 45466993615608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31421556717 + ... + 31421558163.

It is an arithmetic number, because the mean of its divisors is an integer number (144715486032).

Almost surely, 2^{45466993615680} is an apocalyptic number.

45466993615680 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 45466993615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97248806613504).

45466993615680 is an abundant number, since it is smaller than the sum of its proper divisors (149030619611328).

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

45466993615680 is a wasteful number, since it uses less digits than its factorization.

45466993615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 1007769600, while the sum is 72.

The spelling of 45466993615680 in words is "forty-five trillion, four hundred sixty-six billion, nine hundred ninety-three million, six hundred fifteen thousand, six hundred eighty".