20461133114532 has 288 divisors, whose sum is σ = 58698741104640. Its totient is φ = 5955544604160.

The previous prime is 20461133114531. The next prime is 20461133114563. The reversal of 20461133114532 is 23541133116402.

20461133114532 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 1 + 1 + 3 + 3 + 114 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20461133114531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666536208 + ... + 666566904.

It is an arithmetic number, because the mean of its divisors is an integer number (203815073280).

Almost surely, 2^{20461133114532} is an apocalyptic number.

20461133114532 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 20461133114532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29349370552320).

20461133114532 is an abundant number, since it is smaller than the sum of its proper divisors (38237607990108).

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

20461133114532 is a wasteful number, since it uses less digits than its factorization.

20461133114532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31431 (or 31426 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20461133114532 in words is "twenty trillion, four hundred sixty-one billion, one hundred thirty-three million, one hundred fourteen thousand, five hundred thirty-two".