46675919841408 has 1152 divisors, whose sum is σ = 165768280554240. Its totient is φ = 12985924976640.

The previous prime is 46675919841277. The next prime is 46675919841413. The reversal of 46675919841408 is 80414891957664.

46675919841408 is a `hidden beast` number, since 4 + 6 + 6 + 7 + 5 + 91 + 98 + 41 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9442829785 + ... + 9442834727.

It is an arithmetic number, because the mean of its divisors is an integer number (143896076870).

Almost surely, 2^{46675919841408} is an apocalyptic number.

46675919841408 is a gapful number since it is divisible by the number (48) 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 46675919841408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82884140277120).

46675919841408 is an abundant number, since it is smaller than the sum of its proper divisors (119092360712832).

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

46675919841408 is a wasteful number, since it uses less digits than its factorization.

46675919841408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 46675919841408 in words is "forty-six trillion, six hundred seventy-five billion, nine hundred nineteen million, eight hundred forty-one thousand, four hundred eight".