20101458374844 has 288 divisors, whose sum is σ = 64398322372608. Its totient is φ = 4755512678400.

The previous prime is 20101458374779. The next prime is 20101458374857. The reversal of 20101458374844 is 44847385410102.

It is a super-2 number, since 2×20101458374844² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3480042 + ... + 7232814.

It is an arithmetic number, because the mean of its divisors is an integer number (223605286016).

Almost surely, 2^{20101458374844} 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 20101458374844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32199161186304).

20101458374844 is an abundant number, since it is smaller than the sum of its proper divisors (44296863997764).

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

20101458374844 is a wasteful number, since it uses less digits than its factorization.

20101458374844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752857 (or 3752844 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 20101458374844 in words is "twenty trillion, one hundred one billion, four hundred fifty-eight million, three hundred seventy-four thousand, eight hundred forty-four".