46052379648 has 264 divisors, whose sum is σ = 151378695936. Its totient is φ = 13347840000.

The previous prime is 46052379643. The next prime is 46052379719. The reversal of 46052379648 is 84697325064.

46052379648 is a `hidden beast` number, since 4 + 6 + 0 + 523 + 79 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a junction number, because it is equal to n+sod(n) for n = 46052379594 and 46052379603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46052379641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2321773 + ... + 2341523.

Almost surely, 2^46052379648 is an apocalyptic number.

46052379648 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 46052379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75689347968).

46052379648 is an abundant number, since it is smaller than the sum of its proper divisors (105326316288).

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

46052379648 is a wasteful number, since it uses less digits than its factorization.

46052379648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19811 (or 19790 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 46052379648 in words is "forty-six billion, fifty-two million, three hundred seventy-nine thousand, six hundred forty-eight".