1354780714224 has 160 divisors (see below), whose sum is σ = 4047422376960. Its totient is φ = 382480091136.

The previous prime is 1354780714207. The next prime is 1354780714253. The reversal of 1354780714224 is 4224170874531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48221109 + ... + 48249195.

It is an arithmetic number, because the mean of its divisors is an integer number (25296389856).

Almost surely, 2^{1354780714224} is an apocalyptic number.

1354780714224 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 1354780714224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023711188480).

1354780714224 is an abundant number, since it is smaller than the sum of its proper divisors (2692641662736).

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

1354780714224 is a wasteful number, since it uses less digits than its factorization.

1354780714224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29807 (or 29801 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 1354780714224 in words is "one trillion, three hundred fifty-four billion, seven hundred eighty million, seven hundred fourteen thousand, two hundred twenty-four".