303340606601472 has 1728 divisors, whose sum is σ = 1085713859543040. Its totient is φ = 83444666572800.

The previous prime is 303340606601471. The next prime is 303340606601533. The reversal of 303340606601472 is 274106606043303.

303340606601472 is a `hidden beast` number, since 3 + 0 + 3 + 34 + 0 + 6 + 0 + 6 + 601 + 4 + 7 + 2 = 666.

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

It is a super-2 number, since 2×303340606601472² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (303340606601471) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41513696443 + ... + 41513703749.

It is an arithmetic number, because the mean of its divisors is an integer number (628306631680).

Almost surely, 2^{303340606601472} is an apocalyptic number.

303340606601472 is a gapful number since it is divisible by the number (32) 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 303340606601472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542856929771520).

303340606601472 is an abundant number, since it is smaller than the sum of its proper divisors (782373252941568).

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

303340606601472 is a wasteful number, since it uses less digits than its factorization.

303340606601472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7502 (or 7476 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 303340606601472 in words is "three hundred three trillion, three hundred forty billion, six hundred six million, six hundred one thousand, four hundred seventy-two".