46264095648 has 96 divisors (see below), whose sum is σ = 135163728000. Its totient is φ = 15395447808.

The previous prime is 46264095623. The next prime is 46264095659. The reversal of 46264095648 is 84659046264.

46264095648 is a `hidden beast` number, since 4 + 626 + 4 + 0 + 9 + 5 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×46264095648² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 46264095594 and 46264095603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472840 + ... + 562232.

It is an arithmetic number, because the mean of its divisors is an integer number (1407955500).

Almost surely, 2^46264095648 is an apocalyptic number.

46264095648 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 46264095648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67581864000).

46264095648 is an abundant number, since it is smaller than the sum of its proper divisors (88899632352).

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

46264095648 is a wasteful number, since it uses less digits than its factorization.

46264095648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90011 (or 89997 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 46264095648 in words is "forty-six billion, two hundred sixty-four million, ninety-five thousand, six hundred forty-eight".