1520741462448 has 480 divisors, whose sum is σ = 4687846244352. Its totient is φ = 422682624000.

The previous prime is 1520741462423. The next prime is 1520741462467. The reversal of 1520741462448 is 8442641470251.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1520741462397 and 1520741462406.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 542926648 + ... + 542929448.

Almost surely, 2^{1520741462448} 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 1520741462448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343923122176).

1520741462448 is an abundant number, since it is smaller than the sum of its proper divisors (3167104781904).

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

1520741462448 is a wasteful number, since it uses less digits than its factorization.

1520741462448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 1520741462448 in words is "one trillion, five hundred twenty billion, seven hundred forty-one million, four hundred sixty-two thousand, four hundred forty-eight".