45943902563328 has 704 divisors, whose sum is σ = 178566209740800. Its totient is φ = 11305393274880.

The previous prime is 45943902563327. The next prime is 45943902563453. The reversal of 45943902563328 is 82336520934954.

It is a happy number.

45943902563328 is a `hidden beast` number, since 4 + 5 + 9 + 4 + 39 + 0 + 2 + 563 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×45943902563328² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (45943902563327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39881101 + ... + 41016947.

Almost surely, 2^{45943902563328} is an apocalyptic number.

45943902563328 is a gapful number since it is divisible by the number (48) 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 45943902563328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89283104870400).

45943902563328 is an abundant number, since it is smaller than the sum of its proper divisors (132622307177472).

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

45943902563328 is a wasteful number, since it uses less digits than its factorization.

45943902563328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135913 (or 1135889 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 45943902563328 in words is "forty-five trillion, nine hundred forty-three billion, nine hundred two million, five hundred sixty-three thousand, three hundred twenty-eight".