1408947213544 has 96 divisors (see below), whose sum is σ = 2962972860120. Its totient is φ = 624015360000.

The previous prime is 1408947213473. The next prime is 1408947213547. The reversal of 1408947213544 is 4453127498041.

It can be written as a sum of positive squares in 12 ways, for example, as 1043360102500 + 365587111044 = 1021450^2 + 604638^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 1408947213491 and 1408947213500.

It is not an unprimeable number, because it can be changed into a prime (1408947213547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15821944 + ... + 15910744.

Almost surely, 2^{1408947213544} 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 1408947213544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481486430060).

1408947213544 is an abundant number, since it is smaller than the sum of its proper divisors (1554025646576).

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

1408947213544 is a wasteful number, since it uses less digits than its factorization.

1408947213544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88983 (or 88918 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 1408947213544 in words is "one trillion, four hundred eight billion, nine hundred forty-seven million, two hundred thirteen thousand, five hundred forty-four".