45167276154 has 288 divisors, whose sum is σ = 125750959488. Its totient is φ = 10711008000.

The previous prime is 45167276137. The next prime is 45167276171.

45167276154 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (45167276137) and next prime (45167276171).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46708179 + ... + 46709145.

It is an arithmetic number, because the mean of its divisors is an integer number (436635276).

Almost surely, 2^45167276154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45167276154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62875479744).

45167276154 is an abundant number, since it is smaller than the sum of its proper divisors (80583683334).

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

45167276154 is a wasteful number, since it uses less digits than its factorization.

45167276154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1104 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The spelling of 45167276154 in words is "forty-five billion, one hundred sixty-seven million, two hundred seventy-six thousand, one hundred fifty-four".