46041678144 has 336 divisors, whose sum is σ = 169846849536. Its totient is φ = 11572761600.

The previous prime is 46041678121. The next prime is 46041678157. The reversal of 46041678144 is 44187614064.

46041678144 is a `hidden beast` number, since 460 + 41 + 6 + 7 + 8 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×46041678144² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46041678144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1358169 + ... + 1391655.

It is an arithmetic number, because the mean of its divisors is an integer number (505496576).

Almost surely, 2^46041678144 is an apocalyptic number.

46041678144 is a gapful number since it is divisible by the number (44) 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 46041678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84923424768).

46041678144 is an abundant number, since it is smaller than the sum of its proper divisors (123805171392).

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

46041678144 is a wasteful number, since it uses less digits than its factorization.

46041678144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33554 (or 33541 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 46041678144 in words is "forty-six billion, forty-one million, six hundred seventy-eight thousand, one hundred forty-four".