46101094216128 has 1680 divisors, whose sum is σ = 164679585767424. Its totient is φ = 12310414663680.

The previous prime is 46101094216109. The next prime is 46101094216147. The reversal of 46101094216128 is 82161249010164.

46101094216128 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 1 + 0 + 9 + 4 + 21 + 612 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (46101094216109) and next prime (46101094216147).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 276054456301 + ... + 276054456467.

Almost surely, 2^{46101094216128} is an apocalyptic number.

46101094216128 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 46101094216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82339792883712).

46101094216128 is an abundant number, since it is smaller than the sum of its proper divisors (118578491551296).

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

46101094216128 is a wasteful number, since it uses less digits than its factorization.

46101094216128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 46101094216128 in words is "forty-six trillion, one hundred one billion, ninety-four million, two hundred sixteen thousand, one hundred twenty-eight".