1463751540736 has 171 divisors, whose sum is σ = 3132366837249. Its totient is φ = 683868684288.

The previous prime is 1463751540733. The next prime is 1463751540739. The reversal of 1463751540736 is 6370451573641.

The square root of 1463751540736 is 1209856.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1463751540733) and next prime (1463751540739).

It can be written as a sum of positive squares in only one way, i.e., 1139598950400 + 324152590336 = 1067520^2 + 569344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1463751540733) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10530586555 + ... + 10530586693.

Almost surely, 2^{1463751540736} is an apocalyptic number.

1463751540736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1463751540736 is the 1209856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463751540736

1463751540736 is an abundant number, since it is smaller than the sum of its proper divisors (1668615296513).

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

1463751540736 is an frugal number, since it uses more digits than its factorization.

1463751540736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 52.

The spelling of 1463751540736 in words is "one trillion, four hundred sixty-three billion, seven hundred fifty-one million, five hundred forty thousand, seven hundred thirty-six".