45378687354 has 192 divisors, whose sum is σ = 129244846080. Its totient is φ = 10307088000.

The previous prime is 45378687337. The next prime is 45378687371.

It is a happy number.

45378687354 is nontrivially palindromic in base 10.

45378687354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45378687337) and next prime (45378687371).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1237179 + ... + 1273329.

It is an arithmetic number, because the mean of its divisors is an integer number (673150240).

Almost surely, 2^45378687354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45378687354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64622423040).

45378687354 is an abundant number, since it is smaller than the sum of its proper divisors (83866158726).

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

45378687354 is a wasteful number, since it uses less digits than its factorization.

45378687354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36217 (or 36206 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 60.

The spelling of 45378687354 in words is "forty-five billion, three hundred seventy-eight million, six hundred eighty-seven thousand, three hundred fifty-four".