46884646448640 has 5760 divisors, whose sum is σ = 234146941636608. Its totient is φ = 8512363560960.

The previous prime is 46884646448617. The next prime is 46884646448663. The reversal of 46884646448640 is 4684464648864.

46884646448640 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 46 + 4 + 64 + 486 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (46884646448617) and next prime (46884646448663).

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×46884646448640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 280746385837 + ... + 280746386003.

Almost surely, 2^{46884646448640} is an apocalyptic number.

46884646448640 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 46884646448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117073470818304).

46884646448640 is an abundant number, since it is smaller than the sum of its proper divisors (187262295187968).

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

46884646448640 is a wasteful number, since it uses less digits than its factorization.

46884646448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2717908992, while the sum is 72.

The spelling of 46884646448640 in words is "forty-six trillion, eight hundred eighty-four billion, six hundred forty-six million, four hundred forty-eight thousand, six hundred forty".