46114464 has 48 divisors (see below), whose sum is σ = 132058080. Its totient is φ = 13973760.

The previous prime is 46114441. The next prime is 46114483. The reversal of 46114464 is 46441164.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×46114464³ (a number of 24 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20779 + ... + 22890.

It is an arithmetic number, because the mean of its divisors is an integer number (2751210).

Almost surely, 2^46114464 is an apocalyptic number.

46114464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46114464 is an abundant number, since it is smaller than the sum of its proper divisors (85943616).

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

46114464 is a wasteful number, since it uses less digits than its factorization.

46114464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43693 (or 43685 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 46114464 is about 6790.7631382636. The cubic root of 46114464 is about 358.6017365791.

The spelling of 46114464 in words is "forty-six million, one hundred fourteen thousand, four hundred sixty-four".