46101121264 has 80 divisors (see below), whose sum is σ = 100794977280. Its totient is φ = 20236608000.

The previous prime is 46101121259. The next prime is 46101121291. The reversal of 46101121264 is 46212110164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2670292 + ... + 2687500.

It is an arithmetic number, because the mean of its divisors is an integer number (1259937216).

Almost surely, 2^46101121264 is an apocalyptic number.

46101121264 is a gapful number since it is divisible by the number (44) 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 46101121264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50397488640).

46101121264 is an abundant number, since it is smaller than the sum of its proper divisors (54693856016).

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

46101121264 is a wasteful number, since it uses less digits than its factorization.

46101121264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17750 (or 17744 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 46101121264 in words is "forty-six billion, one hundred one million, one hundred twenty-one thousand, two hundred sixty-four".