46849044363264 has 1728 divisors, whose sum is σ = 168117390604800. Its totient is φ = 12918561177600.

The previous prime is 46849044363241. The next prime is 46849044363271. The reversal of 46849044363264 is 46236344094864.

46849044363264 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 9 + 0 + 4 + 4 + 363 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×46849044363264³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73087432384 + ... + 73087433024.

It is an arithmetic number, because the mean of its divisors is an integer number (97290156600).

Almost surely, 2^{46849044363264} is an apocalyptic number.

46849044363264 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 46849044363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84058695302400).

46849044363264 is an abundant number, since it is smaller than the sum of its proper divisors (121268346241536).

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

46849044363264 is a wasteful number, since it uses less digits than its factorization.

46849044363264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 63.

The spelling of 46849044363264 in words is "forty-six trillion, eight hundred forty-nine billion, forty-four million, three hundred sixty-three thousand, two hundred sixty-four".