46261619712 has 792 divisors, whose sum is σ = 173282316480. Its totient is φ = 11751505920.

The previous prime is 46261619711. The next prime is 46261619713. The reversal of 46261619712 is 21791616264.

46261619712 is a `hidden beast` number, since 4 + 6 + 2 + 616 + 19 + 7 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (46261619711) and next prime (46261619713).

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-5 number, since 5×46261619712⁵ (a number of 55 digits) contains 55555 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46261619711) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 332817339 + ... + 332817477.

Almost surely, 2^46261619712 is an apocalyptic number.

46261619712 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 46261619712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86641158240).

46261619712 is an abundant number, since it is smaller than the sum of its proper divisors (127020696768).

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

46261619712 is a wasteful number, since it uses less digits than its factorization.

46261619712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 229 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 46261619712 in words is "forty-six billion, two hundred sixty-one million, six hundred nineteen thousand, seven hundred twelve".