46761278211648 has 1680 divisors, whose sum is σ = 192330356625792. Its totient is φ = 10848677068800.

The previous prime is 46761278211607. The next prime is 46761278211671. The reversal of 46761278211648 is 84611287216764.

46761278211648 is a `hidden beast` number, since 4 + 6 + 7 + 612 + 7 + 8 + 2 + 1 + 1 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4986801136 + ... + 4986810512.

Almost surely, 2^{46761278211648} is an apocalyptic number.

46761278211648 is a gapful number since it is divisible by the number (48) 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 46761278211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96165178312896).

46761278211648 is an abundant number, since it is smaller than the sum of its proper divisors (145569078414144).

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

46761278211648 is a wasteful number, since it uses less digits than its factorization.

46761278211648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494 (or 9444 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 46761278211648 in words is "forty-six trillion, seven hundred sixty-one billion, two hundred seventy-eight million, two hundred eleven thousand, six hundred forty-eight".