46886649696 has 144 divisors (see below), whose sum is σ = 138108952800. Its totient is φ = 15070562304.

The previous prime is 46886649683. The next prime is 46886649727. The reversal of 46886649696 is 69694668864.

46886649696 is a `hidden beast` number, since 46 + 8 + 8 + 6 + 6 + 496 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×46886649696³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 7405060 + ... + 7411388.

It is an arithmetic number, because the mean of its divisors is an integer number (959089950).

Almost surely, 2^46886649696 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 46886649696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69054476400).

46886649696 is an abundant number, since it is smaller than the sum of its proper divisors (91222303104).

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

46886649696 is a wasteful number, since it uses less digits than its factorization.

46886649696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7250 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 46886649696 in words is "forty-six billion, eight hundred eighty-six million, six hundred forty-nine thousand, six hundred ninety-six".