1626241349376 has 252 divisors, whose sum is σ = 5562254597872. Its totient is φ = 464640012288.

The previous prime is 1626241349371. The next prime is 1626241349389. The reversal of 1626241349376 is 6739431426261.

1626241349376 is a `hidden beast` number, since 1 + 6 + 2 + 624 + 1 + 3 + 4 + 9 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1626241349371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 683940 + ... + 1928796.

Almost surely, 2^{1626241349376} is an apocalyptic number.

1626241349376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1626241349376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781127298936).

1626241349376 is an abundant number, since it is smaller than the sum of its proper divisors (3936013248496).

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

1626241349376 is an frugal number, since it uses more digits than its factorization.

1626241349376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244898 (or 1244869 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 1626241349376 in words is "one trillion, six hundred twenty-six billion, two hundred forty-one million, three hundred forty-nine thousand, three hundred seventy-six".