46886106240 has 384 divisors, whose sum is σ = 168911608320. Its totient is φ = 11970478080.

The previous prime is 46886106161. The next prime is 46886106251. The reversal of 46886106240 is 4260168864.

46886106240 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 6 + 10 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17318967 + ... + 17321673.

It is an arithmetic number, because the mean of its divisors is an integer number (439873980).

Almost surely, 2^46886106240 is an apocalyptic number.

46886106240 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 46886106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84455804160).

46886106240 is an abundant number, since it is smaller than the sum of its proper divisors (122025502080).

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

46886106240 is a wasteful number, since it uses less digits than its factorization.

46886106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 46886106240 in words is "forty-six billion, eight hundred eighty-six million, one hundred six thousand, two hundred forty".