46619241984 has 480 divisors, whose sum is σ = 167633199360. Its totient is φ = 12528746496.

The previous prime is 46619241983. The next prime is 46619241997. The reversal of 46619241984 is 48914291664.

46619241984 is a `hidden beast` number, since 4 + 6 + 61 + 92 + 419 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 46619241984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46619241983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27965119 + ... + 27966785.

It is an arithmetic number, because the mean of its divisors is an integer number (349235832).

Almost surely, 2^46619241984 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 46619241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83816599680).

46619241984 is an abundant number, since it is smaller than the sum of its proper divisors (121013957376).

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

46619241984 is a wasteful number, since it uses less digits than its factorization.

46619241984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1696 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 46619241984 in words is "forty-six billion, six hundred nineteen million, two hundred forty-one thousand, nine hundred eighty-four".