11415146278380 has 288 divisors, whose sum is σ = 35299100234496. Its totient is φ = 2739866508288.

The previous prime is 11415146278363. The next prime is 11415146278397. The reversal of 11415146278380 is 8387264151411.

It is an interprime number because it is at equal distance from previous prime (11415146278363) and next prime (11415146278397).

It is a super-3 number, since 3×11415146278380³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357120279 + ... + 357152241.

Almost surely, 2^{11415146278380} is an apocalyptic number.

11415146278380 is a gapful number since it is divisible by the number (10) 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 11415146278380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17649550117248).

11415146278380 is an abundant number, since it is smaller than the sum of its proper divisors (23883953956116).

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

11415146278380 is a wasteful number, since it uses less digits than its factorization.

11415146278380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32257 (or 32202 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 11415146278380 in words is "eleven trillion, four hundred fifteen billion, one hundred forty-six million, two hundred seventy-eight thousand, three hundred eighty".