45694133696640 has 1024 divisors, whose sum is σ = 174899195412480. Its totient is φ = 10001321164800.

The previous prime is 45694133696593. The next prime is 45694133696657. The reversal of 45694133696640 is 4669633149654.

It is a super-2 number, since 2×45694133696640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2475698292 + ... + 2475716748.

It is an arithmetic number, because the mean of its divisors is an integer number (170799995520).

Almost surely, 2^{45694133696640} is an apocalyptic number.

45694133696640 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 45694133696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87449597706240).

45694133696640 is an abundant number, since it is smaller than the sum of its proper divisors (129205061715840).

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

45694133696640 is a wasteful number, since it uses less digits than its factorization.

45694133696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18701 (or 18689 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 66.

The spelling of 45694133696640 in words is "forty-five trillion, six hundred ninety-four billion, one hundred thirty-three million, six hundred ninety-six thousand, six hundred forty".