46003856572128 has 192 divisors, whose sum is σ = 148859731141632. Its totient is φ = 12113955717120.

The previous prime is 46003856572111. The next prime is 46003856572153. The reversal of 46003856572128 is 82127565830064.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492125 + ... + 9707427.

It is an arithmetic number, because the mean of its divisors is an integer number (775311099696).

Almost surely, 2^{46003856572128} is an apocalyptic number.

46003856572128 is a gapful number since it is divisible by the number (48) 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 46003856572128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74429865570816).

46003856572128 is an abundant number, since it is smaller than the sum of its proper divisors (102855874569504).

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

46003856572128 is a wasteful number, since it uses less digits than its factorization.

46003856572128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8215977 (or 8215969 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 46003856572128 in words is "forty-six trillion, three billion, eight hundred fifty-six million, five hundred seventy-two thousand, one hundred twenty-eight".