1351641489408 has 1176 divisors, whose sum is σ = 4899250958400. Its totient is φ = 371217530880.

The previous prime is 1351641489353. The next prime is 1351641489493. The reversal of 1351641489408 is 8049841461531.

1351641489408 is a `hidden beast` number, since 1 + 3 + 516 + 4 + 1 + 4 + 89 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9071419318 + ... + 9071419466.

Almost surely, 2^{1351641489408} is an apocalyptic number.

1351641489408 is a gapful number since it is divisible by the number (18) 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 1351641489408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449625479200).

1351641489408 is an abundant number, since it is smaller than the sum of its proper divisors (3547609468992).

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

1351641489408 is an frugal number, since it uses more digits than its factorization.

1351641489408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1351641489408 in words is "one trillion, three hundred fifty-one billion, six hundred forty-one million, four hundred eighty-nine thousand, four hundred eight".