46146101760 has 400 divisors, whose sum is σ = 180315191232. Its totient is φ = 11186380800.

The previous prime is 46146101719. The next prime is 46146101867. The reversal of 46146101760 is 6710164164.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 2270845 + ... + 2291075.

Almost surely, 2^46146101760 is an apocalyptic number.

46146101760 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 46146101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90157595616).

46146101760 is an abundant number, since it is smaller than the sum of its proper divisors (134169089472).

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

46146101760 is a wasteful number, since it uses less digits than its factorization.

46146101760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20277 (or 20252 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 46146101760 in words is "forty-six billion, one hundred forty-six million, one hundred one thousand, seven hundred sixty".