46548093312 has 1536 divisors, whose sum is σ = 190885248000. Its totient is φ = 11036196864.

The previous prime is 46548093301. The next prime is 46548093341. The reversal of 46548093312 is 21339084564.

46548093312 is a `hidden beast` number, since 4 + 6 + 548 + 0 + 93 + 3 + 12 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1258056558 + ... + 1258056594.

It is an arithmetic number, because the mean of its divisors is an integer number (124274250).

Almost surely, 2^46548093312 is an apocalyptic number.

46548093312 is a gapful number since it is divisible by the number (42) 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 46548093312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95442624000).

46548093312 is an abundant number, since it is smaller than the sum of its proper divisors (144337154688).

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

46548093312 is a wasteful number, since it uses less digits than its factorization.

46548093312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 46548093312 in words is "forty-six billion, five hundred forty-eight million, ninety-three thousand, three hundred twelve".