1488014504964 has 225 divisors, whose sum is σ = 4224651373481. Its totient is φ = 456708844800.

The previous prime is 1488014504887. The next prime is 1488014505031. The reversal of 1488014504964 is 4694054108841.

The square root of 1488014504964 is 1219842.

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

1488014504964 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 0 + 145 + 0 + 496 + 4 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 885590159364 + 602424345600 = 941058^2 + 776160^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1488014504964.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 3710759164 + ... + 3710759564.

Almost surely, 2^{1488014504964} is an apocalyptic number.

1488014504964 is the 1219842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1488014504964

1488014504964 is an abundant number, since it is smaller than the sum of its proper divisors (2736636868517).

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

1488014504964 is an frugal number, since it uses more digits than its factorization.

1488014504964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 1488014504964 in words is "one trillion, four hundred eighty-eight billion, fourteen million, five hundred four thousand, nine hundred sixty-four".