45975573000 has 1536 divisors, whose sum is σ = 204871680000. Its totient is φ = 9471168000.

The previous prime is 45975572983. The next prime is 45975573037. The reversal of 45975573000 is 37557954.

45975573000 is a `hidden beast` number, since 4 + 5 + 9 + 75 + 573 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×45975573000² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 779246971 + ... + 779247029.

It is an arithmetic number, because the mean of its divisors is an integer number (133380000).

Almost surely, 2^45975573000 is an apocalyptic number.

45975573000 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 45975573000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102435840000).

45975573000 is an abundant number, since it is smaller than the sum of its proper divisors (158896107000).

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

45975573000 is a wasteful number, since it uses less digits than its factorization.

45975573000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 45975573000 in words is "forty-five billion, nine hundred seventy-five million, five hundred seventy-three thousand".