378811507152 has 240 divisors, whose sum is σ = 1074190265280. Its totient is φ = 114969673728.

The previous prime is 378811507057. The next prime is 378811507157. The reversal of 378811507152 is 251705118873.

It is a super-2 number, since 2×378811507152² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378811507157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227240623 + ... + 227242289.

It is an arithmetic number, because the mean of its divisors is an integer number (4475792772).

Almost surely, 2^378811507152 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 378811507152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537095132640).

378811507152 is an abundant number, since it is smaller than the sum of its proper divisors (695378758128).

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

378811507152 is a wasteful number, since it uses less digits than its factorization.

378811507152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 48.

The spelling of 378811507152 in words is "three hundred seventy-eight billion, eight hundred eleven million, five hundred seven thousand, one hundred fifty-two".