71460111744 has 192 divisors, whose sum is σ = 238519607040. Its totient is φ = 20112288768.

The previous prime is 71460111739. The next prime is 71460111773. The reversal of 71460111744 is 44711106417.

71460111744 is a `hidden beast` number, since 7 + 1 + 4 + 601 + 1 + 1 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 71460111699 and 71460111708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474157 + ... + 606419.

It is an arithmetic number, because the mean of its divisors is an integer number (1242289620).

Almost surely, 2^71460111744 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 71460111744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119259803520).

71460111744 is an abundant number, since it is smaller than the sum of its proper divisors (167059495296).

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

71460111744 is a wasteful number, since it uses less digits than its factorization.

71460111744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132357 (or 132342 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 71460111744 in words is "seventy-one billion, four hundred sixty million, one hundred eleven thousand, seven hundred forty-four".