1351642553144 has 128 divisors (see below), whose sum is σ = 2901673152000. Its totient is φ = 585492171264.

The previous prime is 1351642553113. The next prime is 1351642553159. The reversal of 1351642553144 is 4413552461531.

It is a junction number, because it is equal to n+sod(n) for n = 1351642553095 and 1351642553104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77188262 + ... + 77205770.

It is an arithmetic number, because the mean of its divisors is an integer number (22669321500).

Almost surely, 2^{1351642553144} 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 1351642553144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450836576000).

1351642553144 is an abundant number, since it is smaller than the sum of its proper divisors (1550030598856).

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

1351642553144 is a wasteful number, since it uses less digits than its factorization.

1351642553144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18157 (or 18153 counting only the distinct ones).

The product of its digits is 864000, while the sum is 44.

The spelling of 1351642553144 in words is "one trillion, three hundred fifty-one billion, six hundred forty-two million, five hundred fifty-three thousand, one hundred forty-four".