74013174144 has 768 divisors, whose sum is σ = 277272230400. Its totient is φ = 19020718080.

The previous prime is 74013174143. The next prime is 74013174149. The reversal of 74013174144 is 44147131047.

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

It is a junction number, because it is equal to n+sod(n) for n = 74013174099 and 74013174108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74013174143) 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, 175803054 + ... + 175803474.

It is an arithmetic number, because the mean of its divisors is an integer number (361031550).

Almost surely, 2^74013174144 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 74013174144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138636115200).

74013174144 is an abundant number, since it is smaller than the sum of its proper divisors (203259056256).

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

74013174144 is a wasteful number, since it uses less digits than its factorization.

74013174144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 74013174144 in words is "seventy-four billion, thirteen million, one hundred seventy-four thousand, one hundred forty-four".