45353311335354 has 128 divisors (see below), whose sum is σ = 102512266260480. Its totient is φ = 13250418048000.

The previous prime is 45353311335347. The next prime is 45353311335359.

It is a happy number.

45353311335354 is nontrivially palindromic in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45353311335359) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7373320179 + ... + 7373326329.

It is an arithmetic number, because the mean of its divisors is an integer number (800877080160).

Almost surely, 2^{45353311335354} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45353311335354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51256133130240).

45353311335354 is an abundant number, since it is smaller than the sum of its proper divisors (57158954925126).

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

45353311335354 is a wasteful number, since it uses less digits than its factorization.

45353311335354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11116.

The product of its digits is 7290000, while the sum is 48.

The spelling of 45353311335354 in words is "forty-five trillion, three hundred fifty-three billion, three hundred eleven million, three hundred thirty-five thousand, three hundred fifty-four".