1611557397372 has 288 divisors, whose sum is σ = 4341780817920. Its totient is φ = 463696047360.

The previous prime is 1611557397323. The next prime is 1611557397377. The reversal of 1611557397372 is 2737937551161.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1611557397377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1948678423 + ... + 1948679249.

It is an arithmetic number, because the mean of its divisors is an integer number (15075627840).

Almost surely, 2^{1611557397372} is an apocalyptic number.

1611557397372 is a gapful number since it is divisible by the number (12) 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 1611557397372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170890408960).

1611557397372 is an abundant number, since it is smaller than the sum of its proper divisors (2730223420548).

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

1611557397372 is a wasteful number, since it uses less digits than its factorization.

1611557397372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1458 counting only the distinct ones).

The product of its digits is 8334900, while the sum is 57.

The spelling of 1611557397372 in words is "one trillion, six hundred eleven billion, five hundred fifty-seven million, three hundred ninety-seven thousand, three hundred seventy-two".