46902116614144 has 279 divisors, whose sum is σ = 108819438844431. Its totient is φ = 20197083709440.

The previous prime is 46902116614099. The next prime is 46902116614153. The reversal of 46902116614144 is 44141661120964.

The square root of 46902116614144 is 6848512.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2468532453367 + ... + 2468532453385.

Almost surely, 2^{46902116614144} is an apocalyptic number.

46902116614144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

46902116614144 is a droll number since its even prime factors and its odd prime factors have the same sum.

46902116614144 is the 6848512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46902116614144

46902116614144 is an abundant number, since it is smaller than the sum of its proper divisors (61917322230287).

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

46902116614144 is an frugal number, since it uses more digits than its factorization.

46902116614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 46902116614144 in words is "forty-six trillion, nine hundred two billion, one hundred sixteen million, six hundred fourteen thousand, one hundred forty-four".