46348516416 has 112 divisors (see below), whose sum is σ = 126953467200. Its totient is φ = 14905669632.

The previous prime is 46348516369. The next prime is 46348516421. The reversal of 46348516416 is 61461584364.

It is a super-3 number, since 3×46348516416³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10983555 + ... + 10987773.

It is an arithmetic number, because the mean of its divisors is an integer number (1133513100).

Almost surely, 2^46348516416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46348516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63476733600).

46348516416 is an abundant number, since it is smaller than the sum of its proper divisors (80604950784).

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

46348516416 is a wasteful number, since it uses less digits than its factorization.

46348516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6236 (or 6226 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 46348516416 in words is "forty-six billion, three hundred forty-eight million, five hundred sixteen thousand, four hundred sixteen".