20114953294410 has 384 divisors, whose sum is σ = 62168311296000. Its totient is φ = 4465124352000.

The previous prime is 20114953294409. The next prime is 20114953294453. The reversal of 20114953294410 is 1449235941102.

20114953294410 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 495 + 32 + 94 + 41 + 0 = 666.

It is a super-2 number, since 2×20114953294410² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62114091 + ... + 62437089.

It is an arithmetic number, because the mean of its divisors is an integer number (161896644000).

Almost surely, 2^{20114953294410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20114953294410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31084155648000).

20114953294410 is an abundant number, since it is smaller than the sum of its proper divisors (42053358001590).

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

20114953294410 is a wasteful number, since it uses less digits than its factorization.

20114953294410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323174 (or 323171 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20114953294410 in words is "twenty trillion, one hundred fourteen billion, nine hundred fifty-three million, two hundred ninety-four thousand, four hundred ten".