45355233255354 has 192 divisors, whose sum is σ = 113275816295040. Its totient is φ = 13438420300800.

The previous prime is 45355233255349. The next prime is 45355233255359.

It is a happy number.

45355233255354 is a `hidden beast` number, since 4 + 5 + 3 + 5 + 5 + 2 + 3 + 32 + 553 + 54 = 666.

45355233255354 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (45355233255349) and next prime (45355233255359).

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

It is a self number, because there is not a number n which added to its sum of digits gives 45355233255354.

It is not an unprimeable number, because it can be changed into a prime (45355233255359) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52174144 + ... + 53036324.

It is an arithmetic number, because the mean of its divisors is an integer number (589978209870).

Almost surely, 2^{45355233255354} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45355233255354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56637908147520).

45355233255354 is an abundant number, since it is smaller than the sum of its proper divisors (67920583039686).

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

45355233255354 is a wasteful number, since it uses less digits than its factorization.

45355233255354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862394 (or 862377 counting only the distinct ones).

The product of its digits is 81000000, while the sum is 54.

The spelling of 45355233255354 in words is "forty-five trillion, three hundred fifty-five billion, two hundred thirty-three million, two hundred fifty-five thousand, three hundred fifty-four".