1354515934464 has 1728 divisors, whose sum is σ = 5356915200000. Its totient is φ = 337983528960.

The previous prime is 1354515934367. The next prime is 1354515934489. The reversal of 1354515934464 is 4644395154531.

1354515934464 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 5 + 1 + 593 + 4 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1354515934464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6806612637 + ... + 6806612835.

Almost surely, 2^{1354515934464} is an apocalyptic number.

1354515934464 is a gapful number since it is divisible by the number (14) 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 1354515934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678457600000).

1354515934464 is an abundant number, since it is smaller than the sum of its proper divisors (4002399265536).

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

1354515934464 is an equidigital number, since it uses as much as digits as its factorization.

1354515934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 251 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 1354515934464 in words is "one trillion, three hundred fifty-four billion, five hundred fifteen million, nine hundred thirty-four thousand, four hundred sixty-four".