46064229120 has 1152 divisors, whose sum is σ = 204606689280. Its totient is φ = 9555148800.

The previous prime is 46064229077. The next prime is 46064229157. The reversal of 46064229120 is 2192246064.

46064229120 is a `hidden beast` number, since 4 + 6 + 0 + 642 + 2 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 305061045 + ... + 305061195.

Almost surely, 2^46064229120 is an apocalyptic number.

46064229120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46064229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102303344640).

46064229120 is an abundant number, since it is smaller than the sum of its proper divisors (158542460160).

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

46064229120 is a wasteful number, since it uses less digits than its factorization.

46064229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 46064229120 in words is "forty-six billion, sixty-four million, two hundred twenty-nine thousand, one hundred twenty".