46147951245312 has 384 divisors, whose sum is σ = 158158916697600. Its totient is φ = 13185119969280.

The previous prime is 46147951245271. The next prime is 46147951245397. The reversal of 46147951245312 is 21354215974164.

46147951245312 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 7 + 95 + 12 + 4 + 531 + 2 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30616887 + ... + 32088777.

It is an arithmetic number, because the mean of its divisors is an integer number (411872178900).

Almost surely, 2^{46147951245312} is an apocalyptic number.

46147951245312 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 46147951245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79079458348800).

46147951245312 is an abundant number, since it is smaller than the sum of its proper divisors (112010965452288).

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

46147951245312 is an frugal number, since it uses more digits than its factorization.

46147951245312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471941 (or 1471903 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 46147951245312 in words is "forty-six trillion, one hundred forty-seven billion, nine hundred fifty-one million, two hundred forty-five thousand, three hundred twelve".