20846149632 has 816 divisors, whose sum is σ = 82442610432. Its totient is φ = 5096079360.

The previous prime is 20846149631. The next prime is 20846149739. The reversal of 20846149632 is 23694164802.

20846149632 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 6 + 1 + 4 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20846149631) 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, 1226244088 + ... + 1226244104.

Almost surely, 2^20846149632 is an apocalyptic number.

20846149632 is a gapful number since it is divisible by the number (22) 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 20846149632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41221305216).

20846149632 is an abundant number, since it is smaller than the sum of its proper divisors (61596460800).

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

20846149632 is an frugal number, since it uses more digits than its factorization.

20846149632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 20846149632 in words is "twenty billion, eight hundred forty-six million, one hundred forty-nine thousand, six hundred thirty-two".