46477936971648 has 1728 divisors, whose sum is σ = 179613660386160. Its totient is φ = 11857641062400.

The previous prime is 46477936971619. The next prime is 46477936971673. The reversal of 46477936971648 is 84617963977464.

46477936971648 is a `hidden beast` number, since 4 + 6 + 477 + 9 + 3 + 6 + 97 + 16 + 48 = 666.

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

It is a super-2 number, since 2×46477936971648² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19040530108 + ... + 19040532548.

Almost surely, 2^{46477936971648} is an apocalyptic number.

46477936971648 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 46477936971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89806830193080).

46477936971648 is an abundant number, since it is smaller than the sum of its proper divisors (133135723414512).

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

46477936971648 is a wasteful number, since it uses less digits than its factorization.

46477936971648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2497 counting only the distinct ones).

The product of its digits is 9217732608, while the sum is 81.

The spelling of 46477936971648 in words is "forty-six trillion, four hundred seventy-seven billion, nine hundred thirty-six million, nine hundred seventy-one thousand, six hundred forty-eight".