103964072746464 has 360 divisors, whose sum is σ = 356888741805288. Its totient is φ = 29602631278080.

The previous prime is 103964072746363. The next prime is 103964072746537. The reversal of 103964072746464 is 464647270469301.

It is a happy number.

103964072746464 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 6 + 40 + 72 + 7 + 464 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35816479 + ... + 38610209.

Almost surely, 2^{103964072746464} is an apocalyptic number.

103964072746464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103964072746464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178444370902644).

103964072746464 is an abundant number, since it is smaller than the sum of its proper divisors (252924669058824).

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

103964072746464 is a wasteful number, since it uses less digits than its factorization.

103964072746464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794060 (or 2794036 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 103964072746464 in words is "one hundred three trillion, nine hundred sixty-four billion, seventy-two million, seven hundred forty-six thousand, four hundred sixty-four".