46101564 has 36 divisors (see below), whose sum is σ = 117675376. Its totient is φ = 15216768.

The previous prime is 46101563. The next prime is 46101571. The reversal of 46101564 is 46510164.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46101563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2509 + ... + 9924.

Almost surely, 2^46101564 is an apocalyptic number.

It is an amenable number.

46101564 is an abundant number, since it is smaller than the sum of its proper divisors (71573812).

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

46101564 is a wasteful number, since it uses less digits than its factorization.

46101564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12546 (or 12541 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 46101564 is about 6789.8132522184. The cubic root of 46101564 is about 358.5682952000.

It can be divided in two parts, 46101 and 564, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 46101564 in words is "forty-six million, one hundred one thousand, five hundred sixty-four".