46129314 has 96 divisors (see below), whose sum is σ = 120274560. Its totient is φ = 11531520.

The previous prime is 46129301. The next prime is 46129337. The reversal of 46129314 is 41392164.

It is a super-2 number, since 2×46129314² = 4255827220221192, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147222 + ... + 147534.

It is an arithmetic number, because the mean of its divisors is an integer number (1252860).

Almost surely, 2^46129314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46129314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60137280).

46129314 is an abundant number, since it is smaller than the sum of its proper divisors (74145246).

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

46129314 is a wasteful number, since it uses less digits than its factorization.

46129314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 46129314 is about 6791.8564472462. The cubic root of 46129314 is about 358.6402253294.

The spelling of 46129314 in words is "forty-six million, one hundred twenty-nine thousand, three hundred fourteen".