45167070042630 has 192 divisors, whose sum is σ = 124223908723200. Its totient is φ = 11354454236160.

The previous prime is 45167070042629. The next prime is 45167070042641. The reversal of 45167070042630 is 3624007076154.

45167070042630 is a `hidden beast` number, since 4 + 5 + 1 + 6 + 7 + 0 + 7 + 0 + 0 + 4 + 2 + 630 = 666.

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

It is a congruent number.

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, 3135070887 + ... + 3135085293.

It is an arithmetic number, because the mean of its divisors is an integer number (646999524600).

Almost surely, 2^{45167070042630} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45167070042630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62111954361600).

45167070042630 is an abundant number, since it is smaller than the sum of its proper divisors (79056838680570).

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

45167070042630 is a wasteful number, since it uses less digits than its factorization.

45167070042630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23339 (or 23336 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 45167070042630 in words is "forty-five trillion, one hundred sixty-seven billion, seventy million, forty-two thousand, six hundred thirty".