337420452096 has 864 divisors, whose sum is σ = 1278909934848. Its totient is φ = 83023626240.

The previous prime is 337420452053. The next prime is 337420452139. The reversal of 337420452096 is 690254024733.

337420452096 is a `hidden beast` number, since 3 + 37 + 4 + 2 + 0 + 4 + 520 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (337420452053) and next prime (337420452139).

It is a super-2 number, since 2×337420452096² (a number of 24 digits) contains 22 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, 488307111 + ... + 488307801.

It is an arithmetic number, because the mean of its divisors is an integer number (1480219832).

Almost surely, 2^337420452096 is an apocalyptic number.

337420452096 is a gapful number since it is divisible by the number (36) 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 337420452096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639454967424).

337420452096 is an abundant number, since it is smaller than the sum of its proper divisors (941489482752).

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

337420452096 is a wasteful number, since it uses less digits than its factorization.

337420452096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 337420452096 in words is "three hundred thirty-seven billion, four hundred twenty million, four hundred fifty-two thousand, ninety-six".