45969251328000 has 5376 divisors, whose sum is σ = 231468167024640. Its totient is φ = 8758886400000.

The previous prime is 45969251327939. The next prime is 45969251328019. The reversal of 45969251328000 is 82315296954.

45969251328000 is a `hidden beast` number, since 4 + 5 + 9 + 69 + 251 + 328 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×45969251328000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 304432127925 + ... + 304432128075.

It is an arithmetic number, because the mean of its divisors is an integer number (43055834640).

Almost surely, 2^{45969251328000} is an apocalyptic number.

45969251328000 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 45969251328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115734083512320).

45969251328000 is an abundant number, since it is smaller than the sum of its proper divisors (185498915696640).

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

45969251328000 is a wasteful number, since it uses less digits than its factorization.

45969251328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 45969251328000 in words is "forty-five trillion, nine hundred sixty-nine billion, two hundred fifty-one million, three hundred twenty-eight thousand".