1403618345536 has 63 divisors (see below), whose sum is σ = 3061761185203. Its totient is φ = 637960949120.

The previous prime is 1403618345489. The next prime is 1403618345567. The reversal of 1403618345536 is 6355438163041.

The square root of 1403618345536 is 1184744.

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

It is a super-2 number, since 2×1403618345536² (a number of 25 digits) contains 22 as substring.

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 1403618345536.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 104250741 + ... + 104264203.

Almost surely, 2^{1403618345536} is an apocalyptic number.

1403618345536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1403618345536 is the 1184744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1403618345536

1403618345536 is an abundant number, since it is smaller than the sum of its proper divisors (1658142839667).

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

1403618345536 is an frugal number, since it uses more digits than its factorization.

1403618345536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26960 (or 13476 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

Multiplying 1403618345536 by its sum of digits (49), we get a square (68777298931264 = 8293208²).

The spelling of 1403618345536 in words is "one trillion, four hundred three billion, six hundred eighteen million, three hundred forty-five thousand, five hundred thirty-six".