46334904401280 has 256 divisors, whose sum is σ = 170596694799360. Its totient is φ = 10571956715520.

The previous prime is 46334904401273. The next prime is 46334904401281. The reversal of 46334904401280 is 8210440943364.

It is a super-3 number, since 3×46334904401280³ (a number of 42 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46334904401281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 64167064 + ... + 64885143.

It is an arithmetic number, because the mean of its divisors is an integer number (666393339060).

Almost surely, 2^{46334904401280} is an apocalyptic number.

46334904401280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46334904401280 is an abundant number, since it is smaller than the sum of its proper divisors (124261790398080).

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

46334904401280 is a wasteful number, since it uses less digits than its factorization.

46334904401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129052257 (or 129052245 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 46334904401280 in words is "forty-six trillion, three hundred thirty-four billion, nine hundred four million, four hundred one thousand, two hundred eighty".