45955373652000 has 2304 divisors, whose sum is σ = 182449739437056. Its totient is φ = 11331809280000.

The previous prime is 45955373651951. The next prime is 45955373652007. The reversal of 45955373652000 is 25637355954.

45955373652000 is a `hidden beast` number, since 4 + 5 + 9 + 5 + 5 + 373 + 65 + 200 + 0 = 666.

It is a super-2 number, since 2×45955373652000² (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 not an unprimeable number, because it can be changed into a prime (45955373652007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 165903875862 + ... + 165903876138.

It is an arithmetic number, because the mean of its divisors is an integer number (79188254964).

Almost surely, 2^{45955373652000} is an apocalyptic number.

45955373652000 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 45955373652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91224869718528).

45955373652000 is an abundant number, since it is smaller than the sum of its proper divisors (136494365785056).

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

45955373652000 is a wasteful number, since it uses less digits than its factorization.

45955373652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 17010000, while the sum is 54.

The spelling of 45955373652000 in words is "forty-five trillion, nine hundred fifty-five billion, three hundred seventy-three million, six hundred fifty-two thousand".