46041386725152 has 2016 divisors, whose sum is σ = 177878067171840. Its totient is φ = 11608699576320.

The previous prime is 46041386725109. The next prime is 46041386725193. The reversal of 46041386725152 is 25152768314064.

46041386725152 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 1 + 386 + 7 + 251 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 40998562863 + ... + 40998563985.

It is an arithmetic number, because the mean of its divisors is an integer number (88233168240).

Almost surely, 2^{46041386725152} is an apocalyptic number.

46041386725152 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 46041386725152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88939033585920).

46041386725152 is an abundant number, since it is smaller than the sum of its proper divisors (131836680446688).

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

46041386725152 is a wasteful number, since it uses less digits than its factorization.

46041386725152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 46041386725152 in words is "forty-six trillion, forty-one billion, three hundred eighty-six million, seven hundred twenty-five thousand, one hundred fifty-two".