70193842540416 has 576 divisors, whose sum is σ = 238586467513680. Its totient is φ = 19746821799936.

The previous prime is 70193842540411. The next prime is 70193842540421. The reversal of 70193842540416 is 61404524839107.

70193842540416 is a `hidden beast` number, since 7 + 0 + 1 + 9 + 3 + 84 + 2 + 540 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (70193842540411) and next prime (70193842540421).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70193842540411) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14572105240 + ... + 14572110056.

It is a 1-persistent number, because it is pandigital, but 2⋅70193842540416 = 140387685080832 is not.

Almost surely, 2^{70193842540416} 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 70193842540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119293233756840).

70193842540416 is an abundant number, since it is smaller than the sum of its proper divisors (168392624973264).

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

70193842540416 is a wasteful number, since it uses less digits than its factorization.

70193842540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8771 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 70193842540416 in words is "seventy trillion, one hundred ninety-three billion, eight hundred forty-two million, five hundred forty thousand, four hundred sixteen".