45335264203350 has 288 divisors, whose sum is σ = 134786956082688. Its totient is φ = 10832718240000.

The previous prime is 45335264203349. The next prime is 45335264203391. The reversal of 45335264203350 is 5330246253354.

45335264203350 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 526 + 42 + 0 + 33 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45335264203296 and 45335264203305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 176948340 + ... + 177204360.

It is an arithmetic number, because the mean of its divisors is an integer number (468010264176).

Almost surely, 2^{45335264203350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45335264203350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67393478041344).

45335264203350 is an abundant number, since it is smaller than the sum of its proper divisors (89451691879338).

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

45335264203350 is a wasteful number, since it uses less digits than its factorization.

45335264203350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256564 (or 256556 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 45.

The spelling of 45335264203350 in words is "forty-five trillion, three hundred thirty-five billion, two hundred sixty-four million, two hundred three thousand, three hundred fifty".