74020154106016 has 192 divisors, whose sum is σ = 156418556263200. Its totient is φ = 34411307728896.

The previous prime is 74020154105957. The next prime is 74020154106121. The reversal of 74020154106016 is 61060145102047.

It can be written as a sum of positive squares in 16 ways, for example, as 23105364694416 + 50914789411600 = 4806804^2 + 7135460^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3566710296 + ... + 3566731048.

Almost surely, 2^{74020154106016} 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 74020154106016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78209278131600).

74020154106016 is an abundant number, since it is smaller than the sum of its proper divisors (82398402157184).

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

74020154106016 is a wasteful number, since it uses less digits than its factorization.

74020154106016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21891 (or 21883 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 74020154106016 in words is "seventy-four trillion, twenty billion, one hundred fifty-four million, one hundred six thousand, sixteen".