1353677750016 has 144 divisors (see below), whose sum is σ = 3728319772800. Its totient is φ = 435510964224.

The previous prime is 1353677749979. The next prime is 1353677750039. The reversal of 1353677750016 is 6100577763531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73644315 + ... + 73662693.

Almost surely, 2^{1353677750016} is an apocalyptic number.

1353677750016 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 1353677750016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864159886400).

1353677750016 is an abundant number, since it is smaller than the sum of its proper divisors (2374642022784).

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

1353677750016 is a wasteful number, since it uses less digits than its factorization.

1353677750016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21734 (or 21720 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 51.

The spelling of 1353677750016 in words is "one trillion, three hundred fifty-three billion, six hundred seventy-seven million, seven hundred fifty thousand, sixteen".