46101113625600 has 1056 divisors, whose sum is σ = 190645377914880. Its totient is φ = 10815455232000.

The previous prime is 46101113625557. The next prime is 46101113625617. The reversal of 46101113625600 is 652631110164.

46101113625600 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 1 + 11 + 36 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235601404 + ... + 235796996.

Almost surely, 2^{46101113625600} is an apocalyptic number.

46101113625600 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 46101113625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95322688957440).

46101113625600 is an abundant number, since it is smaller than the sum of its proper divisors (144544264289280).

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

46101113625600 is a wasteful number, since it uses less digits than its factorization.

46101113625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195674 (or 195645 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 46101113625600 its reverse (652631110164), we get a palindrome (46753744735764).

It can be divided in two parts, 4610111 and 3625600, that added together give a triangular number (8235711 = T₄₀₅₈).

The spelling of 46101113625600 in words is "forty-six trillion, one hundred one billion, one hundred thirteen million, six hundred twenty-five thousand, six hundred".